Solution:

charles put the ring into the box, secure it with one of your locks, and send the box to the girl firend.
She should then attach one of his own locks and return it. When you receive it again, remove your lock and send it back with her lock. Now she can unlock his own lock and retrieve the object.

Solution:

Clean Up

Solution:

794

The nth term in the series is given by the sum of x^n for x in the range 1 to 3, i.e. 1^n + 2^n + 3^n.

Thus the first term is 1^1 + 2^1 + 3^1 = 1 + 2 + 3 = 6,
the second term is 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14,
and so on.

The sixth term is then 1^6 + 2^6 + 3^6 = 1 + 64 + 729 = 794.

Solution:

120 times

Solution:

Lets take O as black, Y as yellow and O as orange.
R + Y + O = 60
As there are 4 times black balls than yellow balls, then
R = 4G
There are 6 more orange balls than yellow balls, so
B = Y + 6
Therefore,
R + Y + O = 60
4G + Y + Y + 6 = 60
6G + 6 = 60
6G = 60 – 6
6G = 54
G = 54/6 = 9
R = 4G = 4 x 9 = 36
B = Y + 6 = 9 + 6 =15
Finally there are 9 yellow balls, 36 black balls and 15 orange balls

Solution:

3211000

Solution:

128.

There are 62 squares of size 1x1.
There are 41 squares of size 2x2.
There are 18 squares of size 3x3.
There are 6 squares of size 4x4.
There is 1 square of size 5x5.

A total of 62 + 41 + 18 + 6 + 1 = 128.

Solution:

12345679*9=111111111

so s = 1
and
z = 9

Solution:

42

Solution:

If you take the first letter , rest become palindrome